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21233664 = 21834
BaseRepresentation
bin101000100000…
…0000000000000
31110221210010000
41101000000000
520413434124
62035040000
7345324504
oct121000000
943853100
1021233664
1110a93191
127140000
134525aca
142b6a304
151ce66c9
hex1440000

21233664 has 95 divisors (see below), whose sum is σ = 63438727. Its totient is φ = 7077888.

The previous prime is 21233651. The next prime is 21233689. The reversal of 21233664 is 46633212.

The square root of 21233664 is 4608.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)4 ⋅ (2!)6.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=48.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a Duffinian number.

Its product of digits (5184) is a multiple of the sum of its prime factors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 7077887 + 7077888 + 7077889.

Almost surely, 221233664 is an apocalyptic number.

21233664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

21233664 is the 4608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21233664

21233664 is an abundant number, since it is smaller than the sum of its proper divisors (42205063).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21233664 is an frugal number, since it uses more digits than its factorization.

21233664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 5 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The cubic root of 21233664 is about 276.9119174990.

Multiplying 21233664 by its product of digits (5184), we get a 8-th power (110075314176 = 248).

21233664 divided by its product of digits (5184) gives a 12-th power (4096 = 212).

Adding to 21233664 its reverse (46633212), we get a palindrome (67866876).

The spelling of 21233664 in words is "twenty-one million, two hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 16384 18432 20736 24576 27648 32768 36864 41472 49152 55296 65536 73728 82944 98304 110592 131072 147456 165888 196608 221184 262144 294912 331776 393216 442368 589824 663552 786432 884736 1179648 1327104 1769472 2359296 2654208 3538944 5308416 7077888 10616832 21233664